Probability Methods In Civil Engineering

ABOUT THE COURSE:Concept of probability and statistics is very important to solve various civil engineering problems. In this course, basic probability concept and different probabilistic models will be discussed. Concept and definition of random variables and different functions of random variables will be covered in the initial part of the course. Afterwards, focus is given to commonly used probability distribution functions in civil engineering. Discussions on statistics and sampling are presented towards the last part of the course. In this part, goodness of fit tests, regression and correlation analyses, estimation of distribution parameters from statistics, hypothesis testing and their significance will be discussed. Each topic is discussed with reference to different application problems and their solutions in different fields of civil engineering, such as Structural Engineering, Transportation Engineering, Water Resources and Environmental Engineering, Geotechnical Engineering etc.INTENDED AUDIENCE:Core Course and students of BE/ME/MS/MSc/PhD.PREREQUISITES:Basic Knowledge of Probability and StatisticsINDUSTRY SUPPORT: Nil

Week 1: Random events, Probability, Set Theory, AssignmentWeek 2:Axioms of Probability, AssignmentWeek 3:Random Variables, Probability Distribution FunctionsWeek 4:Cumulative Distribution Functions, Descriptors of random variables, AssignmentWeek 5:Probability Distribution of discrete and continuous random variables, AssignmentWeek 6:Probability Distribution of continuous random variables, AssignmentWeek 7:Functions of Random Variables, AssignmentWeek 8:Common Probability Models, Normal, Log Normal and exponential distributionsWeek 9:Gamma and Extreme value distributions, AssignmentWeek 10:Sampling distribution, Parameter Estimation, AssignmentWeek 11:Hypothesis testing, Goodness-of-fit tests, AssignmentWeek 12:Regression Analysis, Assignment